K13n2953
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Polynomial invariants
| Jones polynomial | Data:K13n2953/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+23 t-27+23 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2953/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -z^4+z^2 a^{-4} -4 z^2 a^{-6} +z^2 a^{-8} -z^2- a^{-2} - a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10} a^{-6} +z^9 a^{-1} -z^9 a^{-3} +3 z^9 a^{-5} +5 z^9 a^{-7} -9 z^8 a^{-2} -20 z^8 a^{-4} -6 z^8 a^{-6} +5 z^8 a^{-8} -z^7 a^{-1} -3 z^7 a^{-3} -22 z^7 a^{-5} -17 z^7 a^{-7} +3 z^7 a^{-9} +25 z^6 a^{-2} +35 z^6 a^{-4} -4 z^6 a^{-6} -17 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+z^5 a^{-1} +13 z^5 a^{-3} +42 z^5 a^{-5} +20 z^5 a^{-7} -9 z^5 a^{-9} -30 z^4 a^{-2} -22 z^4 a^{-4} +17 z^4 a^{-6} +16 z^4 a^{-8} -3 z^4 a^{-10} -10 z^4-2 a z^3-2 z^3 a^{-1} -7 z^3 a^{-3} -24 z^3 a^{-5} -13 z^3 a^{-7} +4 z^3 a^{-9} +11 z^2 a^{-2} +7 z^2 a^{-4} -8 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} +4 z^2-2 z a^{-1} -3 z a^{-3} +3 z a^{-5} +4 z a^{-7} + a^{-2} + a^{-6} + a^{-8} +2 }[/math] |
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